Question

If a² + 1 = 4a, then which is the value of a/a²- 3a + 1 ?​

Answer 1

Answer:

Given,

a

2

−4a+1=4

⇒a

2

−4a−3=0

upon solving the above quadratic equation, we get,

a=2±

7

Given,

a

2

−1

a

3

−a

2

+a−1

=

(2±

7

)

2

−1

(2±

7

)

3

−(2±

7

)

2

+(2±

7

)−1

upon solving the above equation, we get,

=

10+4

7

40+16

7

=

2(5+2

7

)

8(5+2

7

)

=2

Answer 2

Answer:

If a2−1=4a , then a2−4a−1=0, which has roots a=4±17√2≈4.06155,−0.06155.

You can plug those two roots into the expression you are supposed to evaluate.

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